A chaotic system is deterministic and causal, but initial conditions can not be defined enough to predict lomg term outcomes. Local weather is an example.
Chaos can be demonstraed by experiment.
That’s right, but in QM it really is indeterministic. But probabilities can be calculated.
So, it might not be. It is random but not necessarily indeterministic.
How can something be deterministically random?
Well, start off by taking a random finite "shape" of size (radius) 1000, in a "universe" that is going to last 1000 frames (as measured from the center of the shape).
Lets assume this shape has some properties to make it easier to think about namely that it is composed of "voxels", and each "voxel" has a "best guess center of mass/gravity" of the whole at that moment as one of its properties, regardless of whether that individual voxel is empty.
In each frame, frames communicate their idea of where the center of the universe happens to be, and send those messages at a rate of one frame per frame radiating out.
This means that the center of the system will only become aware of the edges of the system at frame 1000 or thereabouts (I may be off by one).
Now, this is fully deterministic, and also completely random, because the center in the next frame is not related to the new information that determines the new center. It's completely unpredictable from prior information.